Abstract
Phase-locked-loops (PLLs) are the most common synchronization units used for integration of voltage source converters to the power grid. One of such type of PLL is a single phase elementary PLL which is inherently nonlinear. The standard approach of Linear Time Invariant (LTI) modelling generally ignores this nonlinear behavior. To accurately model the PLL with nonlinearity included, Linear Time Periodic (LTP) framework is adopted. In this paper, first the method of extracting LTP model of a single phase elementary PLL is illustrated, then the LTI model is developed from the LTP model by expanding the time periodic quantities into complex Fourier series. The two models obtained are simulated in MATLAB/Simulink. Bode plots are also used to obtain the output variable. The results obtained are subsequently validated with the nonlinear PLL model.
Published Version
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